# Motion induced radiation and quantum friction for a moving atom

## TL;DR

This paper investigates quantum dissipative effects like motion-induced radiation and quantum friction for a moving atom near a mirror, revealing thresholds, photon creation, and the importance of dielectric losses in such quantum systems.

## Contribution

It provides a detailed analysis of quantum radiation and friction effects for an atom in motion near a mirror, including the role of internal atomic states and dielectric losses.

## Key findings

- Identification of a frequency threshold for internal excitation and photon emission.
- Demonstration of quantum contactless friction due to atom-mirror interaction.
- Highlighting the necessity of including dielectric losses for finite results.

## Abstract

We study quantum dissipative effects that result from the non-relativistic motion of an atom, coupled to a quantum real scalar field, in the presence of a static imperfect mirror. Our study consists of two parts: in the first, we consider accelerated motion in free space, namely, switching off the coupling to the mirror. This results in motion induced radiation, which we quantify via the vacuum persistence amplitude. In the model we use, the atom is described by a quantum harmonic oscillator (QHO). We show that its natural frequency poses a threshold which separates different regimes, involving or not the internal excitation of the oscillator, with the ulterior emission of a photon. At higher orders in the coupling to the field, pairs of photons may be created by virtue of the Dynamical Casimir Effect (DCE). In the second part, we switch on the coupling to the mirror, which we describe by localized microscopic degrees of freedom. We show that this leads to the existence of quantum contactless friction as well as to corrections to the free space emission considered in the first part. The latter are similar to the effect of a dielectric on the spontaneous emission of an excited atom. We have found that, when the atom is accelerated and close to the plate, it is crucial to take into account the losses in the dielectric in order to obtain finite results for the vacuum persistence amplitude.